The utility model discloses an inner and outer support elastic composite structure for flexible explosion prevention, which belongs to the technical field of public safety defense equipment and comprises an inner support and an outer support. Wherein the inner support and the outer support are cylinders with openings at two ends, the bottom end of the inner support is provided with a horizontal folding edge which is bent outwards, and the top end of the outer support is provided with a horizontal folding edge which is bent inwards; the inner support is coaxially sleeved with the outer support,the horizontal folded edge of the inner support is connected with the bottom end of the outer support, and the horizontal folded edge of the outer support is connected with the top end of the inner support. A closed annular cavity is defined by the outer circumference of the inner support, the outer circumference of the outer support, the horizontal folded edge of the end of the inner support andthe horizontal folded edge of the end of the outer support. The inner support and the outer support are both made of polyurethane materials. And coatings made of elastic materials are sprayed on theinner circumferential surfaces and the outer circumferential surfaces of the inner supports and the outer supports. The explosive cover has the advantages of being small in wall thickness, small in size, light in weight and convenient to move manually and lightly, and explosives or suspected explosives can be easily and rapidly covered with the explosive cover.